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Finding the Fourth Proportional to 3,022.82, 4,497.65 and 2,947.49

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Solution

The fourth proportional to 3,022.82, 4,497.65 and 2,947.49 is: 4,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.82 : 4,497.65 = 2,947.49 : x
  2. Step 2: Convert to fraction form
    3,022.82/4,497.65 = 2,947.49/x
  3. Step 3: Cross multiply
    3,022.82x = 4,497.65 × 2,947.49
  4. Step 4: Simplify right side
    3,022.82x = 13,256,780.15
  5. Step 5: Solve for x
    x = 13,256,780.15/3,022.82
  6. Step 6: Final answer
    x = 4,385.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.